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Finding the Third Proportional to 362,364 and 542,682

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Solution

The third proportional to 362,364 and 542,682 is: 812,729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,364 : 542,682 = 542,682 : x
  2. Step 2: Convert to fraction form
    362,364/542,682 = 542,682/x
  3. Step 3: Cross multiply
    362,364x = 542,682 × 542,682
  4. Step 4: Simplify right side
    362,364x = 294,503,753,124
  5. Step 5: Solve for x
    x = 294,503,753,124/362,364
  6. Step 6: Final answer
    x = 812,729.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.